#include <stan/math/prim.hpp>
#include <gtest/gtest.h>
#include <vector>

// NOLINT()
TEST(PrimScalFun, lower_reg_inc_gamma_accuarcy) {
  const int n_tests = 9600;
  double const test[n_tests][3] = {{0.0001, 0.0001, -8.62594024578651},
                                   {0.0001, 0.2501, -1.043983702295472},
                                   {0.0001, 0.5001, -0.559710976064692},
                                   {0.0001, 0.7501, -0.3403330648538443},
                                   {0.0001, 1.0001, -0.2193920393374747},
                                   {0.0001, 1.2501, -0.146425360625888},
                                   {0.0001, 1.5001, -0.1000313789992058},
                                   {0.0001, 1.7501, -0.06949897554463814},
                                   {0.0001, 2.0001, -0.04890902060488023},
                                   {0.0001, 2.2501, -0.03476891380227148},
                                   {0.0001, 2.5001, -0.02492032641765518},
                                   {0.0001, 2.7501, -0.0179831704646452},
                                   {0.0001, 3.0001, -0.01305167061607386},
                                   {0.0001, 3.2501, -0.00951905263302263},
                                   {0.0001, 3.5001, -0.006972103062010499},
                                   {0.0001, 3.7501, -0.005125613208359185},
                                   {0.0001, 4.0001, -0.003780513627753275},
                                   {0.0001, 4.2501, -0.002796544177456598},
                                   {0.0001, 4.5001, -0.002074084638451469},
                                   {0.0001, 4.7501, -0.0015418890917538},
                                   {0.0001, 5.0001, -0.001148697556746513},
                                   {0.0001, 5.2501, -0.000857435176076771},
                                   {0.0001, 5.5001, -0.0006411621419087327},
                                   {0.0001, 5.7501, -0.0004802223213934926},
                                   {0.0001, 6.0001, -0.0003602211170155327},
                                   {0.0001, 6.2501, -0.0002705821702813008},
                                   {0.0001, 6.5001, -0.0002035113406328981},
                                   {0.0001, 6.7501, -0.0001532492594878595},
                                   {0.0001, 7.0001, -0.0001155296314952508},
                                   {0.0001, 7.2501, -0.0000871850461631746},
                                   {0.0001, 7.5001, -0.00006585907514253089},
                                   {0.0001, 7.7501, -0.00004979529568399881},
                                   {0.0001, 8.0001, -0.00003768221684757421},
                                   {0.0001, 8.2501, -0.00002853898014746541},
                                   {0.0001, 8.5001, -0.00002163089991709606},
                                   {0.0001, 8.7501, -0.00001640690785999976},
                                   {0.0001, 9.0001, -0.00001245312161953031},
                                   {0.0001, 9.2501, -9.4583129992176e-6},
                                   {0.0001, 9.5001, -7.188178997080442e-6},
                                   {0.0001, 9.7501, -5.466138982769719e-6},
                                   {0.0001, 10.0001, -4.158979942823098e-6},
                                   {0.0001, 10.2501, -3.166109956322839e-6},
                                   {0.0001, 10.5001, -2.411501820107549e-6},
                                   {0.0001, 10.7501, -1.837645597307558e-6},
                                   {0.0001, 11.0001, -1.40100364172525e-6},
                                   {0.0001, 11.2501, -1.068590921290271e-6},
                                   {0.0001, 11.5001, -8.15399266776583e-7},
                                   {0.0001, 11.7501, -6.22455316692474e-7},
                                   {0.0001, 12.0001, -4.753548581441044e-7},
                                   {0.0001, 12.2501, -3.631557035475979e-7},
                                   {0.0001, 12.5001, -2.775406821933887e-7},
                                   {0.0001, 12.7501, -2.121843332875009e-7},
                                   {0.0001, 13.0001, -1.622733575646538e-7},
                                   {0.0001, 13.2501, -1.241432313565997e-7},
                                   {0.0001, 13.5001, -9.50026546894601e-8},
                                   {0.0001, 13.7501, -7.272446442785173e-8},
                                   {0.0001, 14.0001, -5.568687998252415e-8},
                                   {0.0001, 14.2501, -4.265289395132516e-8},
                                   {0.0001, 14.5001, -3.267858916453952e-8},
                                   {0.0001, 14.7501, -2.504340556035019e-8},
                                   {0.0001, 15.0001, -1.919707530675899e-8},
                                   {0.0001, 15.2501, -1.47192210267613e-8},
                                   {0.0001, 15.5001, -1.128857961681753e-8},
                                   {0.0001, 15.7501, -8.65954930107857e-9},
                                   {0.0001, 16.0001, -6.644307750657985e-9},
                                   {0.0001, 16.2501, -5.09917273528946e-9},
                                   {0.0001, 16.5001, -3.914194969804656e-9},
                                   {0.0001, 16.7501, -3.005213070408504e-9},
                                   {0.0001, 17.0001, -2.307786302868633e-9},
                                   {0.0001, 17.2501, -1.772560160280509e-9},
                                   {0.0001, 17.5001, -1.361724085597672e-9},
                                   {0.0001, 17.7501, -1.046303552844242e-9},
                                   {0.0001, 18.0001, -8.04089873763009e-10},
                                   {0.0001, 18.2501, -6.180559178861024e-10},
                                   {0.0001, 18.5001, -4.751438689580329e-10},
                                   {0.0001, 18.7501, -3.653379783274905e-10},
                                   {0.0001, 19.0001, -2.809539265402833e-10},
                                   {0.0001, 19.2501, -2.160946256785452e-10},
                                   {0.0001, 19.5001, -1.662339936368609e-10},
                                   {0.0001, 19.7501, -1.278972830752892e-10},
                                   {0.0001, 20.0001, -9.84161242953885e-11},
                                   {0.0001, 20.2501, -7.574142324576107e-11},
                                   {0.0001, 20.5001, -5.829911997531613e-11},
                                   {0.0001, 20.7501, -4.48796186220117e-11},
                                   {0.0001, 21.0001, -3.455368164674726e-11},
                                   {0.0001, 21.2501, -2.660709213865518e-11},
                                   {0.0001, 21.5001, -2.049050684791712e-11},
                                   {0.0001, 21.7501, -1.578208744540922e-11},
                                   {0.0001, 22.0001, -1.215707657513748e-11},
                                   {0.0001, 22.2501, -9.36581701782006e-12},
                                   {0.0001, 22.5001, -7.21627159610253e-12},
                                   {0.0001, 22.7501, -5.56070274142e-12},
                                   {0.0001, 23.0001, -4.285436358317136e-12},
                                   {0.0001, 23.2501, -3.302995377488415e-12},
                                   {0.0001, 23.5001, -2.54605296628307e-12},
                                   {0.0001, 23.7501, -1.962784031329923e-12},
                                   {0.0001, 24.0001, -1.513290421500652e-12},
                                   {0.0001, 24.2501, -1.166852154862443e-12},
                                   {0.0001, 24.5001, -8.99813076886352e-13},
                                   {0.0001, 24.7501, -6.939542645798591e-13},
                                   {0.0001, 25.0001, -5.352425240798134e-13},
                                   {0.0001, 25.2501, -4.128676928257118e-13},
                                   {0.0001, 25.5001, -3.185010342657312e-13},
                                   {0.0001, 25.7501, -2.456454093954785e-13},
                                   {0.0001, 26.0001, -1.895331764797947e-13},
                                   {0.0001, 26.2501, -1.462512294429785e-13},
                                   {0.0001, 26.5001, -1.128626814402012e-13},
                                   {0.0001, 26.7501, -8.71038809656388e-14},
                                   {0.0001, 27.0001, -6.72295335721329e-14},
                                   {0.0001, 27.2501, -5.189403594341169e-14},
                                   {0.0001, 27.5001, -4.005980660040653e-14},
                                   {0.0001, 27.7501, -3.092675854993177e-14},
                                   {0.0001, 28.0001, -2.387770970530001e-14},
                                   {0.0001, 28.2501, -1.843669531279013e-14},
                                   {0.0001, 28.5001, -1.423660451679853e-14},
                                   {0.0001, 28.7501, -1.099408107954614e-14},
                                   {0.0001, 29.0001, -8.49071247338573e-15},
                                   {0.0001, 29.2501, -6.557796840278574e-15},
                                   {0.0001, 29.5001, -5.065284129635028e-15},
                                   {0.0001, 29.7501, -3.912723010174313e-15},
                                   {0.2501, 0.0001, -0.990158942354134},
                                   {0.2501, 0.2501, -0.977313778091076},
                                   {0.2501, 0.5001, -0.6501744076885957},
                                   {0.2501, 0.7501, -0.450748610937528},
                                   {0.2501, 1.0001, -0.3196508046930008},
                                   {0.2501, 1.2501, -0.2300281566139779},
                                   {0.2501, 1.5001, -0.1672613137177786},
                                   {0.2501, 1.7501, -0.122573713819852},
                                   {0.2501, 2.0001, -0.0903753001449793},
                                   {0.2501, 2.2501, -0.06696377355711272},
                                   {0.2501, 2.5001, -0.04981900144902351},
                                   {0.2501, 2.7501, -0.03719072459987607},
                                   {0.2501, 3.0001, -0.02784466926035025},
                                   {0.2501, 3.2501, -0.02089998687505484},
                                   {0.2501, 3.5001, -0.01572202844502455},
                                   {0.2501, 3.7501, -0.01184996145395173},
                                   {0.2501, 4.0001, -0.00894700201923156},
                                   {0.2501, 4.2501, -0.006765686358681361},
                                   {0.2501, 4.5001, -0.005123341960993142},
                                   {0.2501, 4.7501, -0.003884588459400138},
                                   {0.2501, 5.0001, -0.002948748421800567},
                                   {0.2501, 5.2501, -0.002240725915580562},
                                   {0.2501, 5.5001, -0.001704357432052404},
                                   {0.2501, 5.7501, -0.001297539649892971},
                                   {0.2501, 6.0001, -0.000988642976618364},
                                   {0.2501, 6.2501, -0.0007538610560090487},
                                   {0.2501, 6.5001, -0.000575245125781075},
                                   {0.2501, 6.7501, -0.000439241752207222},
                                   {0.2501, 7.0001, -0.0003356020314367867},
                                   {0.2501, 7.2501, -0.000256565882035104},
                                   {0.2501, 7.5001, -0.0001962506978326574},
                                   {0.2501, 7.7501, -0.0001501922429166681},
                                   {0.2501, 8.0001, -0.0001149992488062129},
                                   {0.2501, 8.2501, -0.0000880931235823753},
                                   {0.2501, 8.5001, -0.00006751150310486271},
                                   {0.2501, 8.7501, -0.00005175977986025906},
                                   {0.2501, 9.0001, -0.00003969874871523852},
                                   {0.2501, 9.2501, -0.00003045948375958945},
                                   {0.2501, 9.5001, -0.00002337877599982668},
                                   {0.2501, 9.7501, -0.00001795011607765785},
                                   {0.2501, 10.0001, -0.00001378644427820865},
                                   {0.2501, 10.2501, -0.00001059181808423896},
                                   {0.2501, 10.5001, -8.139844878602e-6},
                                   {0.2501, 10.7501, -6.257251853991112e-6},
                                   {0.2501, 11.0001, -4.811360577628015e-6},
                                   {0.2501, 11.2501, -3.700531690673756e-6},
                                   {0.2501, 11.5001, -2.84687099564814e-6},
                                   {0.2501, 11.7501, -2.190658295373706e-6},
                                   {0.2501, 12.0001, -1.68608975749912e-6},
                                   {0.2501, 12.2501, -1.298022365052601e-6},
                                   {0.2501, 12.5001, -9.994832838348e-7},
                                   {0.2501, 12.7501, -7.697636718195224e-7},
                                   {0.2501, 13.0001, -5.92958972087415e-7},
                                   {0.2501, 13.2501, -4.568506125325698e-7},
                                   {0.2501, 13.5001, -3.520491286321652e-7},
                                   {0.2501, 13.7501, -2.713370705369982e-7},
                                   {0.2501, 14.0001, -2.091650983196083e-7},
                                   {0.2501, 14.2501, -1.612653756898004e-7},
                                   {0.2501, 14.5001, -1.243547714349915e-7},
                                   {0.2501, 14.7501, -9.59071703377253e-8},
                                   {0.2501, 15.0001, -7.397839214384804e-8},
                                   {0.2501, 15.2501, -5.70718310605134e-8},
                                   {0.2501, 15.5001, -4.403520246596896e-8},
                                   {0.2501, 15.7501, -3.398111452969471e-8},
                                   {0.2501, 16.0001, -2.622605795505153e-8},
                                   {0.2501, 16.2501, -2.024343538745615e-8},
                                   {0.2501, 16.5001, -1.562751480186833e-8},
                                   {0.2501, 16.7501, -1.206558867905033e-8},
                                   {0.2501, 17.0001, -9.31663208370699e-9},
                                   {0.2501, 17.2501, -7.194797026551749e-9},
                                   {0.2501, 17.5001, -5.556833676115023e-9},
                                   {0.2501, 17.7501, -4.292237845911373e-9},
                                   {0.2501, 18.0001, -3.31577927101339e-9},
                                   {0.2501, 18.2501, -2.561725636345279e-9},
                                   {0.2501, 18.5001, -1.979362442165261e-9},
                                   {0.2501, 18.7501, -1.529527860077386e-9},
                                   {0.2501, 19.0001, -1.182040544370188e-9},
                                   {0.2501, 19.2501, -9.13583473900247e-10},
                                   {0.2501, 19.5001, -7.061640845302191e-10},
                                   {0.2501, 19.7501, -5.458824228235435e-10},
                                   {0.2501, 20.0001, -4.220173009294218e-10},
                                   {0.2501, 20.2501, -3.26285934218042e-10},
                                   {0.2501, 20.5001, -2.522929391595634e-10},
                                   {0.2501, 20.7501, -1.95095264439073e-10},
                                   {0.2501, 21.0001, -1.508752188900844e-10},
                                   {0.2501, 21.2501, -1.166877731488787e-10},
                                   {0.2501, 21.5001, -9.02671612480166e-11},
                                   {0.2501, 21.7501, -6.981345940966502e-11},
                                   {0.2501, 22.0001, -5.400863847922271e-11},
                                   {0.2501, 22.2501, -4.179277532353923e-11},
                                   {0.2501, 22.5001, -3.23308260447305e-11},
                                   {0.2501, 22.7501, -2.501936466853711e-11},
                                   {0.2501, 23.0001, -1.936068692637376e-11},
                                   {0.2501, 23.2501, -1.497676385917116e-11},
                                   {0.2501, 23.5001, -1.159126912568956e-11},
                                   {0.2501, 23.7501, -8.97108198850357e-12},
                                   {0.2501, 24.0001, -6.947135260619593e-12},
                                   {0.2501, 24.2501, -5.373994707699191e-12},
                                   {0.2501, 24.5001, -4.159902420096881e-12},
                                   {0.2501, 24.7501, -3.220423118694748e-12},
                                   {0.2501, 25.0001, -2.493096572422168e-12},
                                   {0.2501, 25.2501, -1.930132144915722e-12},
                                   {0.2501, 25.5001, -1.495052353663491e-12},
                                   {0.2501, 25.7501, -1.167101441639733e-12},
                                   {0.2501, 26.0001, -8.95996324210035e-13},
                                   {0.2501, 26.2501, -7.05795784313902e-13},
                                   {0.2501, 26.5001, -5.373237011045537e-13},
                                   {0.2501, 26.7501, -4.17015087949817e-13},
                                   {0.2501, 27.0001, -3.345331446261404e-13},
                                   {0.2501, 27.2501, -2.54865735034997e-13},
                                   {0.2501, 27.5001, -1.960256769970598e-13},
                                   {0.2501, 27.7501, -1.532786558872271e-13},
                                   {0.2501, 28.0001, -1.259807353796681e-13},
                                   {0.2501, 28.2501, -9.43658927959158e-14},
                                   {0.2501, 28.5001, -6.965955903152912e-14},
                                   {0.2501, 28.7501, -5.460208508091108e-14},
                                   {0.2501, 29.0001, -4.595151515408268e-14},
                                   {0.2501, 29.2501, -3.243935582649153e-14},
                                   {0.2501, 29.5001, -2.761896857609424e-14},
                                   {0.2501, 29.7501, -2.171738875097303e-14},
                                   {0.5001, 0.0001, -0.1042409501459808},
                                   {0.5001, 0.2501, -0.7978156547799145},
                                   {0.5001, 0.5001, -0.6471233014932263},
                                   {0.5001, 0.7501, -0.5049527448985353},
                                   {0.5001, 1.0001, -0.3898178624664172},
                                   {0.5001, 1.2501, -0.2997728627807467},
                                   {0.5001, 1.5001, -0.2301933518760258},
                                   {0.5001, 1.7501, -0.1766872934497418},
                                   {0.5001, 2.0001, -0.1356232765850561},
                                   {0.5001, 2.2501, -0.104130471527128},
                                   {0.5001, 2.5001, -0.079980300783083},
                                   {0.5001, 2.7501, -0.06145685750074729},
                                   {0.5001, 3.0001, -0.04724395932624462},
                                   {0.5001, 3.2501, -0.03633371329148346},
                                   {0.5001, 3.5001, -0.02795475776137188},
                                   {0.5001, 3.7501, -0.02151676324948343},
                                   {0.5001, 4.0001, -0.01656781594735981},
                                   {0.5001, 4.2501, -0.0127618088745892},
                                   {0.5001, 4.5001, -0.00983353053064772},
                                   {0.5001, 4.7501, -0.007579644531078157},
                                   {0.5001, 5.0001, -0.005844166703643423},
                                   {0.5001, 5.2501, -0.004507372277144043},
                                   {0.5001, 5.5001, -0.003477318549618584},
                                   {0.5001, 5.7501, -0.002683362362161241},
                                   {0.5001, 6.0001, -0.002071199744292454},
                                   {0.5001, 6.2501, -0.001599067807673684},
                                   {0.5001, 6.5001, -0.001234834683806334},
                                   {0.5001, 6.7501, -0.000953768477201762},
                                   {0.5001, 7.0001, -0.0007368257752319335},
                                   {0.5001, 7.2501, -0.0005693379776164228},
                                   {0.5001, 7.5001, -0.000440002434936816},
                                   {0.5001, 7.7501, -0.0003401072793396845},
                                   {0.5001, 8.0001, -0.0002629355307599279},
                                   {0.5001, 8.2501, -0.0002033068111770437},
                                   {0.5001, 8.5001, -0.0001572247402519583},
                                   {0.5001, 8.7501, -0.0001216055338614379},
                                   {0.5001, 9.0001, -0.0000940690264162397},
                                   {0.5001, 9.2501, -0.00007277770211497002},
                                   {0.5001, 9.5001, -0.00005631266443612959},
                                   {0.5001, 9.7501, -0.0000435780372647914},
                                   {0.5001, 10.0001, -0.00003372725820926423},
                                   {0.5001, 10.2501, -0.00002610623469801939},
                                   {0.5001, 10.5001, -0.0000202094931910444},
                                   {0.5001, 10.7501, -0.00001564634299051179},
                                   {0.5001, 11.0001, -0.00001211476121600677},
                                   {0.5001, 11.2501, -9.38123240121102e-6},
                                   {0.5001, 11.5001, -7.26518156506191e-6},
                                   {0.5001, 11.7501, -5.626951647417578e-6},
                                   {0.5001, 12.0001, -4.35851646475043e-6},
                                   {0.5001, 12.2501, -3.376305407403938e-6},
                                   {0.5001, 12.5001, -2.615658694759707e-6},
                                   {0.5001, 12.7501, -2.026541909043717e-6},
                                   {0.5001, 13.0001, -1.570233261668579e-6},
                                   {0.5001, 13.2501, -1.216762391025611e-6},
                                   {0.5001, 13.5001, -9.42929897080865e-7},
                                   {0.5001, 13.7501, -7.307757108526447e-7},
                                   {0.5001, 14.0001, -5.663944129450216e-7},
                                   {0.5001, 14.2501, -4.390187859848185e-7},
                                   {0.5001, 14.5001, -3.403107760825219e-7},
                                   {0.5001, 14.7501, -2.638128545206909e-7},
                                   {0.5001, 15.0001, -2.045234426942309e-7},
                                   {0.5001, 15.2501, -1.585683080043277e-7},
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                                   {19.2501, 20.5001, -0.0851031378634093},
                                   {19.2501, 20.7501, -0.0831852169224127},
                                   {19.2501, 21.0001, -0.0810885858381863},
                                   {19.2501, 21.2501, -0.07883416111468256},
                                   {19.2501, 21.5001, -0.0764429598269024},
                                   {19.2501, 21.7501, -0.0739358521554866},
                                   {19.2501, 22.0001, -0.07133333690604449},
                                   {19.2501, 22.2501, -0.06865534155998666},
                                   {19.2501, 22.5001, -0.06592104776513366},
                                   {19.2501, 22.7501, -0.06314874259154269},
                                   {19.2501, 23.0001, -0.06035569535775162},
                                   {19.2501, 23.2501, -0.05755805937928884},
                                   {19.2501, 23.5001, -0.05477079760677825},
                                   {19.2501, 23.7501, -0.05200763080516428},
                                   {19.2501, 24.0001, -0.04928100667663024},
                                   {19.2501, 24.2501, -0.04660208814439315},
                                   {19.2501, 24.5001, -0.04398075888831936},
                                   {19.2501, 24.7501, -0.04142564415098227},
                                   {19.2501, 25.0001, -0.03894414480857887},
                                   {19.2501, 25.2501, -0.03654248271892445},
                                   {19.2501, 25.5001, -0.03422575541233452},
                                   {19.2501, 25.7501, -0.03199799827443305},
                                   {19.2501, 26.0001, -0.02986225247686884},
                                   {19.2501, 26.2501, -0.0278206370369876},
                                   {19.2501, 26.5001, -0.02587442352552778},
                                   {19.2501, 26.7501, -0.02402411208770516},
                                   {19.2501, 27.0001, -0.02226950759346873},
                                   {19.2501, 27.2501, -0.02060979488363393},
                                   {19.2501, 27.5001, -0.01904361222695995},
                                   {19.2501, 27.7501, -0.01756912224649285},
                                   {19.2501, 28.0001, -0.01618407970960678},
                                   {19.2501, 28.2501, -0.01488589570357438},
                                   {19.2501, 28.5001, -0.0136716978360437},
                                   {19.2501, 28.7501, -0.01253838620673949},
                                   {19.2501, 29.0001, -0.01148268499262765},
                                   {19.2501, 29.2501, -0.01050118957355962},
                                   {19.2501, 29.5001, -0.00959040919917563},
                                   {19.2501, 29.7501, -0.00874680526091903},
                                   {19.5001, 0.0001, -8.35360260960272e-15},
                                   {19.5001, 0.2501, -2.984051366979255e-15},
                                   {19.5001, 0.5001, -2.508514095144382e-15},
                                   {19.5001, 0.7501, -2.230319027715946e-15},
                                   {19.5001, 1.0001, -2.035056128163374e-15},
                                   {19.5001, 1.2501, -2.001440519587878e-15},
                                   {19.5001, 1.5001, -4.8931560305248e-15},
                                   {19.5001, 1.7501, -4.872006569336448e-14},
                                   {19.5001, 2.0001, -4.762781032970959e-13},
                                   {19.5001, 2.2501, -3.537619101093977e-12},
                                   {19.5001, 2.5001, -2.074350990794401e-11},
                                   {19.5001, 2.7501, -1.002890379398828e-10},
                                   {19.5001, 3.0001, -4.133912662388849e-10},
                                   {19.5001, 3.2501, -1.490423338270082e-9},
                                   {19.5001, 3.5001, -4.794434059583971e-9},
                                   {19.5001, 3.7501, -1.397954216913577e-8},
                                   {19.5001, 4.0001, -3.741938525895745e-8},
                                   {19.5001, 4.2501, -9.29100870414139e-8},
                                   {19.5001, 4.5001, -2.158393154566771e-7},
                                   {19.5001, 4.7501, -4.725319497783098e-7},
                                   {19.5001, 5.0001, -9.80874741823735e-7},
                                   {19.5001, 5.2501, -1.940609584929915e-6},
                                   {19.5001, 5.5001, -3.675780608888758e-6},
                                   {19.5001, 5.7501, -6.691640844985524e-6},
                                   {19.5001, 6.0001, -0.00001174780433617368},
                                   {19.5001, 6.2501, -0.00001994853584518962},
                                   {19.5001, 6.5001, -0.00003284981150640065},
                                   {19.5001, 6.7501, -0.00005258121596252502},
                                   {19.5001, 7.0001, -0.0000819789668979019},
                                   {19.5001, 7.2501, -0.0001247245170920315},
                                   {19.5001, 7.5001, -0.0001854814433134668},
                                   {19.5001, 7.7501, -0.000270021865429907},
                                   {19.5001, 8.0001, -0.0003853326133160292},
                                   {19.5001, 8.2501, -0.0005396909115825453},
                                   {19.5001, 8.5001, -0.0007426995788525668},
                                   {19.5001, 8.7501, -0.001005272682747707},
                                   {19.5001, 9.0001, -0.001339564239704736},
                                   {19.5001, 9.2501, -0.001758834828860265},
                                   {19.5001, 9.5001, -0.002277253778864682},
                                   {19.5001, 9.7501, -0.002909637722003708},
                                   {19.5001, 10.0001, -0.003671129600375084},
                                   {19.5001, 10.2501, -0.004576825450905215},
                                   {19.5001, 10.5001, -0.005641359289923744},
                                   {19.5001, 10.7501, -0.006878458981936792},
                                   {19.5001, 11.0001, -0.00830048795934704},
                                   {19.5001, 11.2501, -0.0099179889476608},
                                   {19.5001, 11.5001, -0.01173924637671512},
                                   {19.5001, 11.7501, -0.01376988390228596},
                                   {19.5001, 12.0001, -0.01601251244952906},
                                   {19.5001, 12.2501, -0.01846644248696981},
                                   {19.5001, 12.5001, -0.021127471948905},
                                   {19.5001, 12.7501, -0.02398775847326429},
                                   {19.5001, 13.0001, -0.02703578155655457},
                                   {19.5001, 13.2501, -0.03025639700055989},
                                   {19.5001, 13.5001, -0.03363098278880725},
                                   {19.5001, 13.7501, -0.03713767242691622},
                                   {19.5001, 14.0001, -0.04075166893628771},
                                   {19.5001, 14.2501, -0.04444563021048248},
                                   {19.5001, 14.5001, -0.04819011440889259},
                                   {19.5001, 14.7501, -0.05195407252748482},
                                   {19.5001, 15.0001, -0.0557053742796919},
                                   {19.5001, 15.2501, -0.0594113529450283},
                                   {19.5001, 15.5001, -0.0630393548790602},
                                   {19.5001, 15.7501, -0.06655727988681363},
                                   {19.5001, 16.0001, -0.06993409958771926},
                                   {19.5001, 16.2501, -0.0731403421773259},
                                   {19.5001, 16.5001, -0.07614853354537874},
                                   {19.5001, 16.7501, -0.07893358646407478},
                                   {19.5001, 17.0001, -0.0814731314371464},
                                   {19.5001, 17.2501, -0.083747784725954},
                                   {19.5001, 17.5001, -0.0857413509749587},
                                   {19.5001, 17.7501, -0.0874409596856763},
                                   {19.5001, 18.0001, -0.0888371364846571},
                                   {19.5001, 18.2501, -0.0899238116565177},
                                   {19.5001, 18.5001, -0.0906982697372854},
                                   {19.5001, 18.7501, -0.0911610450662923},
                                   {19.5001, 19.0001, -0.0913157690662359},
                                   {19.5001, 19.2501, -0.0911689756592915},
                                   {19.5001, 19.5001, -0.0907298716385531},
                                   {19.5001, 19.7501, -0.0900100790113141},
                                   {19.5001, 20.0001, -0.0890233563317249},
                                   {19.5001, 20.2501, -0.0877853058670183},
                                   {19.5001, 20.5001, -0.0863130731182585},
                                   {19.5001, 20.7501, -0.0846250447693821},
                                   {19.5001, 21.0001, -0.082740550593545},
                                   {19.5001, 21.2501, -0.08067957422931},
                                   {19.5001, 21.5001, -0.07846247707564576},
                                   {19.5001, 21.7501, -0.07610973886680887},
                                   {19.5001, 22.0001, -0.07364171779641273},
                                   {19.5001, 22.2501, -0.07107843238221591},
                                   {19.5001, 22.5001, -0.06843936661447295},
                                   {19.5001, 22.7501, -0.06574329932335161},
                                   {19.5001, 23.0001, -0.06300815814441819},
                                   {19.5001, 23.2501, -0.06025089796236688},
                                   {19.5001, 23.5001, -0.05748740327639999},
                                   {19.5001, 23.7501, -0.05473241355811377},
                                   {19.5001, 24.0001, -0.05199947036462115},
                                   {19.5001, 24.2501, -0.04930088472449256},
                                   {19.5001, 24.5001, -0.04664772312909108},
                                   {19.5001, 24.7501, -0.04404981033310126},
                                   {19.5001, 25.0001, -0.04151574709076558},
                                   {19.5001, 25.2501, -0.03905294092324711},
                                   {19.5001, 25.5001, -0.0366676480219909},
                                   {19.5001, 25.7501, -0.0343650244371759},
                                   {19.5001, 26.0001, -0.0321491847735881},
                                   {19.5001, 26.2501, -0.03002326671292292},
                                   {19.5001, 26.5001, -0.02798949979635648},
                                   {19.5001, 26.7501, -0.02604927702929404},
                                   {19.5001, 27.0001, -0.02420322800703541},
                                   {19.5001, 27.2501, -0.02245129240169319},
                                   {19.5001, 27.5001, -0.0207927927935613},
                                   {19.5001, 27.7501, -0.01922650597126501},
                                   {19.5001, 28.0001, -0.01775073196192775},
                                   {19.5001, 28.2501, -0.01636336018324061},
                                   {19.5001, 28.5001, -0.01506193223213353},
                                   {19.5001, 28.7501, -0.01384370093855374},
                                   {19.5001, 29.0001, -0.01270568541685209},
                                   {19.5001, 29.2501, -0.01164472194098948},
                                   {19.5001, 29.5001, -0.01065751055301144},
                                   {19.5001, 29.7501, -0.00974065738705324},
                                   {19.7501, 0.0001, -8.39947382313214e-15},
                                   {19.7501, 0.2501, -3.006090538841089e-15},
                                   {19.7501, 0.5001, -2.528442654357837e-15},
                                   {19.7501, 0.7501, -2.249006696410869e-15},
                                   {19.7501, 1.0001, -2.051743525507101e-15},
                                   {19.7501, 1.2501, -1.957880586411952e-15},
                                   {19.7501, 1.5001, -3.417354907344635e-15},
                                   {19.7501, 1.7501, -2.732631615572274e-14},
                                   {19.7501, 2.0001, -2.691854266128023e-13},
                                   {19.7501, 2.2501, -2.054676045099982e-12},
                                   {19.7501, 2.5001, -1.236740764927036e-11},
                                   {19.7501, 2.7501, -6.123743035183924e-11},
                                   {19.7501, 3.0001, -2.579894726835049e-10},
                                   {19.7501, 3.2501, -9.4901067062248e-10},
                                   {19.7501, 3.5001, -3.110096059013117e-9},
                                   {19.7501, 3.7501, -9.2267231172414e-9},
                                   {19.7501, 4.0001, -2.510060598892822e-8},
                                   {19.7501, 4.2501, -6.327864762103969e-8},
                                   {19.7501, 4.5001, -1.491262577644817e-7},
                                   {19.7501, 4.7501, -3.309384980750019e-7},
                                   {19.7501, 5.0001, -6.95857098610875e-7},
                                   {19.7501, 5.2501, -1.393677900668874e-6},
                                   {19.7501, 5.5001, -2.670817769069039e-6},
                                   {19.7501, 5.7501, -4.916685375386762e-6},
                                   {19.7501, 6.0001, -8.72439828676905e-6},
                                   {19.7501, 6.2501, -0.00001496716276533515},
                                   {19.7501, 6.5001, -0.00002489066818061132},
                                   {19.7501, 6.7501, -0.00004022057014272733},
                                   {19.7501, 7.0001, -0.00006328261244863126},
                                   {19.7501, 7.2501, -0.0000971312734259134},
                                   {19.7501, 7.5001, -0.0001456811531568759},
                                   {19.7501, 7.7501, -0.0002138337977352162},
                                   {19.7501, 8.0001, -0.0003075914406698924},
                                   {19.7501, 8.2501, -0.0004341483714509053},
                                   {19.7501, 8.5001, -0.0006019504300601419},
                                   {19.7501, 8.7501, -0.000820713546078304},
                                   {19.7501, 9.0001, -0.001101393315644641},
                                   {19.7501, 9.2501, -0.001456099310802318},
                                   {19.7501, 9.5001, -0.001897950065720702},
                                   {19.7501, 9.7501, -0.002440867361290284},
                                   {19.7501, 10.0001, -0.003099311378271711},
                                   {19.7501, 10.2501, -0.003887961332890966},
                                   {19.7501, 10.5001, -0.004821349163238913},
                                   {19.7501, 10.7501, -0.005913456521823611},
                                   {19.7501, 11.0001, -0.007177287589419176},
                                   {19.7501, 11.2501, -0.00862443192712198},
                                   {19.7501, 11.5001, -0.01026463263293378},
                                   {19.7501, 11.7501, -0.01210537541292978},
                                   {19.7501, 12.0001, -0.01415151380418914},
                                   {19.7501, 12.2501, -0.01640494472696224},
                                   {19.7501, 12.5001, -0.01886434686337422},
                                   {19.7501, 12.7501, -0.02152499215602293},
                                   {19.7501, 13.0001, -0.0243786381115912},
                                   {19.7501, 13.2501, -0.02741350571596913},
                                   {19.7501, 13.5001, -0.03061434475829129},
                                   {19.7501, 13.7501, -0.03396258535967107},
                                   {19.7501, 14.0001, -0.03743657163709617},
                                   {19.7501, 14.2501, -0.04101187081779304},
                                   {19.7501, 14.5001, -0.04466164884878107},
                                   {19.7501, 14.7501, -0.04835710169233685},
                                   {19.7501, 15.0001, -0.05206793010885466},
                                   {19.7501, 15.2501, -0.05576284482841319},
                                   {19.7501, 15.5001, -0.05941008860281634},
                                   {19.7501, 15.7501, -0.06297796169200427},
                                   {19.7501, 16.0001, -0.06643533783595457},
                                   {19.7501, 16.2501, -0.06975215864476171},
                                   {19.7501, 16.5001, -0.07289989554426885},
                                   {19.7501, 16.7501, -0.07585196987445487},
                                   {19.7501, 17.0001, -0.07858412338161962},
                                   {19.7501, 17.2501, -0.081074733102251},
                                   {19.7501, 17.5001, -0.0833050664382666},
                                   {19.7501, 17.7501, -0.0852594740074169},
                                   {19.7501, 18.0001, -0.0869255195635111},
                                   {19.7501, 18.2501, -0.0882940478717379},
                                   {19.7501, 18.5001, -0.0893591928568978},
                                   {19.7501, 18.7501, -0.090118329588562},
                                   {19.7501, 19.0001, -0.0905719747081273},
                                   {19.7501, 19.2501, -0.0907236407284651},
                                   {19.7501, 19.5001, -0.0905796502455123},
                                   {19.7501, 19.7501, -0.0901489164980354},
                                   {19.7501, 20.0001, -0.089442696908284},
                                   {19.7501, 20.2501, -0.088474326248586},
                                   {19.7501, 20.5001, -0.0872589359270516},
                                   {19.7501, 20.7501, -0.0858131655919153},
                                   {19.7501, 21.0001, -0.0841548728425818},
                                   {19.7501, 21.2501, -0.0823028463305481},
                                   {19.7501, 21.5001, -0.0802765269591076},
                                   {19.7501, 21.7501, -0.07809574127006123},
                                   {19.7501, 22.0001, -0.07578045045990171},
                                   {19.7501, 22.2501, -0.07335051781636809},
                                   {19.7501, 22.5001, -0.07082549672577777},
                                   {19.7501, 22.7501, -0.06822444078651158},
                                   {19.7501, 23.0001, -0.06556573698621138},
                                   {19.7501, 23.2501, -0.06286696236884945},
                                   {19.7501, 23.5001, -0.06014476413957151},
                                   {19.7501, 23.7501, -0.0574147627345332},
                                   {19.7501, 24.0001, -0.05469147702218265},
                                   {19.7501, 24.2501, -0.05198827050208696},
                                   {19.7501, 24.5001, -0.04931731712636403},
                                   {19.7501, 24.7501, -0.04668958518465417},
                                   {19.7501, 25.0001, -0.04411483756287557},
                                   {19.7501, 25.2501, -0.04160164660448118},
                                   {19.7501, 25.5001, -0.03915742176572359},
                                   {19.7501, 25.7501, -0.0367884482583366},
                                   {19.7501, 26.0001, -0.03449993490868624},
                                   {19.7501, 26.2501, -0.03229606952645243},
                                   {19.7501, 26.5001, -0.03018008016303381},
                                   {19.7501, 26.7501, -0.02815430074512001},
                                   {19.7501, 27.0001, -0.02622023968757897},
                                   {19.7501, 27.2501, -0.0243786502176826},
                                   {19.7501, 27.5001, -0.02262960127590127},
                                   {19.7501, 27.7501, -0.02097254799365174},
                                   {19.7501, 28.0001, -0.01940640088256957},
                                   {19.7501, 28.2501, -0.01792959300064196},
                                   {19.7501, 28.5001, -0.01654014448587154},
                                   {19.7501, 28.7501, -0.01523572396645978},
                                   {19.7501, 29.0001, -0.01401370646660287},
                                   {19.7501, 29.2501, -0.01287122752803931},
                                   {19.7501, 29.5001, -0.01180523335895066},
                                   {19.7501, 29.7501, -0.01081252690344368}};

  for (int i = 0; i < n_tests; ++i) {
    double a = test[i][0];
    double z = test[i][1];

    double result = stan::math::grad_reg_lower_inc_gamma(a, z, 1.0e-10);
    if (i == 0) {
      EXPECT_NEAR(test[i][2], result, 1.5e-5);
    } else {
      EXPECT_NEAR(test[i][2], result, 1.0e-10);
    }
  }
}  // NOLINT(readability/fn_size)
